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Finding the Fourth Proportional to 468,001.36, 645,840 and 253,141.96

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Solution

The fourth proportional to 468,001.36, 645,840 and 253,141.96 is: 349,334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,001.36 : 645,840 = 253,141.96 : x
  2. Step 2: Convert to fraction form
    468,001.36/645,840 = 253,141.96/x
  3. Step 3: Cross multiply
    468,001.36x = 645,840 × 253,141.96
  4. Step 4: Simplify right side
    468,001.36x = 163,489,203,446.40
  5. Step 5: Solve for x
    x = 163,489,203,446.40/468,001.36
  6. Step 6: Final answer
    x = 349,334.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.